109865414016 has 160 divisors (see below), whose sum is σ = 328405069080. Its totient is φ = 36459694080.

The previous prime is 109865413991. The next prime is 109865414017. The reversal of 109865414016 is 610414568901.

109865414016 is a `hidden beast` number, since 1 + 0 + 98 + 6 + 541 + 4 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109865414017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2330196 + ... + 2376876.

Almost surely, 2^109865414016 is an apocalyptic number.

109865414016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109865414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164202534540).

109865414016 is an abundant number, since it is smaller than the sum of its proper divisors (218539655064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109865414016 is an equidigital number, since it uses as much as digits as its factorization.

109865414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46934 (or 46913 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 109865414016 in words is "one hundred nine billion, eight hundred sixty-five million, four hundred fourteen thousand, sixteen".